Conversely, some elements do not maintain distinct allotropes in different phases – for example phosphorus has numerous solid allotropes, which all revert to the same P < sub > 4 </ sub > form when melted to the liquid state.

Conversely, if ƒ: C → C is a function which is differentiable when regarded as a function on R < sup > 2 </ sup >, then ƒ is complex differentiable if and only if the Cauchy – Riemann equations hold.

Conversely, if the measured potential is negative, the electrode is more oxidizing than the SHE ( such as Zn in ZnSO < sub > 4 </ sub > where the standard electrode potential is − 0. 76 V ).

Conversely, if the data are sparse — that is, if only K out of N Fourier coefficients are nonzero — then the complexity can be reduced to O ( K log N log ( N / K )), and this has been demonstrated to lead to practical speedups compared to an ordinary FFT for N / K > 32 in a large-N example ( N = 2 < sup > 22 </ sup >) using a probabilistic approximate algorithm ( which estimates the largest K coefficients to several decimal places ).

Conversely, when one wants to compute an arbitrary number ( N ) of discrete samples of one cycle of a continuous DTFT, it can be done by computing the relatively simple DFT of s < sub > N </ sub >, as defined above.

Conversely, given a groupoid G in the algebraic sense, let G < sub > 0 </ sub > be the set of all elements of the form x * x < sup >− 1 </ sup > with x varying through G and define G ( x * x < sup >-1 </ sup >, y * y < sup >-1 </ sup >) as the set of all elements f such that y * y < sup >-1 </ sup > * f * x * x < sup >-1 </ sup > exists.

Conversely, a high pH, low CO < sub > 2 </ sub >, or low 2, 3 BPG favors the relaxed form which can better bind oxygen.

Conversely, given central idempotents a < sub > 1 </ sub >,..., a < sub > n </ sub > in R that are pairwise orthogonal and have sum 1, then R is the direct sum of the rings Ra < sub > 1 </ sub >,…, Ra < sub > n </ sub >.

Conversely we have a b if and only if a < b or a ~ b. This is the reason for using the notation ""; "≤" can be confusing for a preorder that is not anti-symmetric, it may suggest that a ≤ b implies that a < b or a

Conversely, if dφ < sub > x </ sub > is an isomorphism then there is an open neighborhood U of x such that φ maps U diffeomorphically onto its image.

Conversely every positive functional φ gives a corresponding inner product < ƒ, g >< sub > φ </ sub > = φ ( g * ƒ ).

Conversely, if M is positive definite, it has an eigendecomposition P < sup >− 1 </ sup > DP where P is unitary, D diagonal, and all diagonal elements of D are real and positive.

Conversely, any Hermitian positive semidefinite matrix M can be written as M = A < sup >*</ sup > A ; this is the Cholesky decomposition.

Conversely, to switch off a p-channel device requires V < sub > GS </ sub > positive.

Conversely, any choice of μ, full rank matrix U, and positive diagonal entries Λ < sub > i </ sub > yields a non-singular multivariate normal distribution.

Conversely, for the previous range from 2 < sup > 51 </ sub > to 2 < sup > 52 </ sub >, the spacing is 0. 5, etc.

Given a field ordering ≤ as in Def 1, the elements such that x ≥ 0 forms a positive cone of F. Conversely, given a positive cone P of F as in Def 2, one can associate a total ordering ≤< sub > P </ sub > by setting x ≤ y to mean y − x ∈ P. This total ordering ≤< sub > P </ sub > satisfies the properties of Def 1.

Conversely, the interior of the box has a constant, zero potential energy .< ref > Actually, any constant, finite potential can be specified within the box.

) Conversely, if B satisfies both of the conditions 1 and 2, then there is a unique topology on X for which B is a base ; it is called the topology generated by B.

Conversely, except in dimension 2, if the curvature of a Riemannian manifold has this form for some function K, then the Bianchi identities imply that K is constant and thus that the manifold is ( locally ) a space form.

Conversely, IL-4 drives T < sub > h </ sub > 2 cell production and IFN-γ inhibits T < sub > h </ sub > 2 cells.

Conversely, a square flat plate of area 1 m < sup > 2 </ sup > will have an RCS of < span style =" white-space: nowrap "> σ

for some real-valued functions a and b depending, respectively, on x and y. Conversely, given any such pair of real-valued functions, there exists a vector field X satisfying 1. and 2.

Conversely, a function u: E < sub > 1 </ sub > → E < sub > 2 </ sub > defined on a basis of E < sub > 1 </ sub > can be uniquely extended to a linear function.

Conversely, when the population is large the value of approaches 1 effectively reducing the terms inside the brackets of equation 1. 2 to zero.

which are linearly independent at each point q in U. Conversely, given such a coframe, there is a unique moving frame X < sub > 1 </ sub >, X < sub > 2 </ sub >, ..., X < sub > n </ sub > which is dual to it, i. e., satisfies the duality relation α < sup > i </ sup >( X < sub > j </ sub >) = δ < sup > i </ sup >< sub > j </ sub >, where δ < sup > i </ sup >< sub > j </ sub > is the Kronecker delta function on U.

If f is flat, then .< ref > EGA IV < sub > 2 </ sub >, Corollaire 6. 1. 2 .</ ref > Conversely, if this equality holds for all x, X is Cohen-Macaulay, and Y is regular, then f is flat .< ref > EGA IV < sub > 2 </ sub >, Proposition 6. 1. 5.

If X is reduced or normal at x, then Y is reduced or normal, respectively, at f ( x ).< ref > EGA IV < sub > 2 </ sub >, Proposition 2. 1. 13 .</ ref > Conversely, if f is also of finite presentation and f < sup >− 1 </ sup >( y ) is reduced or normal, respectively, at x, then X is reduced or normal, respectively, at x .< ref > EGA IV < sub > 3 </ sub >, Proposition 11. 3. 13 .</ ref >

Conversely, if Y is regular at f ( x ) and f < sup >− 1 </ sup >( f ( x )) is regular at x, then X is regular at x .< ref > EGA IV < sub > 2 </ sub >, Corollaire 6. 5. 2 .</ ref >

Conversely, if Y is normal at f ( x ) and f < sup >− 1 </ sup >( f ( x )) is normal at x, then X is normal at x .< ref > EGA IV < sub > 2 </ sub >, Corollaire 6. 5. 4 .</ ref >

Conversely, the existence of Bletchley Park, and of the decrypting achievements there, was never officially shared with the Soviet Union, whose war effort would have greatly benefited from regular decrypting of German messages relating to the Eastern Front.

Conversely the equilibrium position is said to be " far to the left " if hardly any product is formed from the reactants.

Conversely, some men have cross-dressed to escape from mandatory military service or as a disguise to assist in political or social protest, as men did in the Rebecca Riots.

Conversely, an absence of secure cycle-parking is a recurring complaint by cyclists from cities with low modal share of cycling.

Conversely, some organisms have special techniques to prevent crystallization from occurring, such as antifreeze proteins.

Conversely, computer implementations are significant in applying ideas from discrete mathematics to real-world problems, such as in operations research.

Conversely, there are other stars that never rise above the horizon, as seen from any given point on the Earth's surface ( except exactly on the equator ).

Conversely, if the source of waves is moving away from the observer, each wave is emitted from a position farther from the observer than the previous wave, so the arrival time between successive waves is increased, reducing the frequency.

Conversely every partition of comes from an equivalence relation in this way, according to which if and only if and belong to the same set of the partition.

Conversely, the defensive team will know that the offense has to cover a good deal of ground in a single play, will expect a forward pass, and will know from earlier study something of the propensities of the offense they face.

Conversely, if no advantage is gained from kicking the ball, play should continue.

Conversely any planar graph can be formed from a map in this way.

Conversely, there are Grothendieck topologies which do not come from topological spaces.

Conversely, when the carbon dioxide levels in the blood decrease ( i. e., in the lung capillaries ), carbon dioxide and protons are released from hemoglobin, increasing the oxygen affinity of the protein.

Conversely, both owners of capital and labor profit in real terms from an increase in the capital endowment.

Conversely, when a piece of land is separated from the mainland by a man-made canal, for example the Peloponnese by the Corinth Canal, it is generally not considered an island.

Conversely, the reasons internalist answers the question in the negative (" No, Sasha does not have a reason not to steal from that poor person, though others might .").

Conversely, JPL, through the Caltech lawyers representing the laboratory, allege that Coppedge's termination was simply due to budget cuts and his demotion from team lead was because of harassment complaints and from on-going conflicts with his co-workers.

Conversely, Trotsky held that socialism in one country would economically constrain the industrial development of the USSR, and thus required assistance from the new socialist countries that had arisen in the developed world, which was essential for maintaining Soviet democracy, in 1924 much undermined by civil war and counter-revolution.

Conversely, the cultural divergence at the border became sharper: in theory, a uniform French identity extends from the Atlantic coast to the Rhine, and on the other bank of the Rhine, a uniform German identity begins.

Conversely, air rising from the northern surface of the Earth ( creating a region of low pressure ) tends to draw air toward it in a counterclockwise pattern.

Conversely, Walter Burkert suggests that the Hellene cult worship of Poseidon as a horse god may be connected to the introduction of the horse and war-chariot from Anatolia to Greece around 1600 BC.